Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-12-04
Phys.Rev.D78:124003,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11pages and this work is dedicated to the memory of Professor Hongya Liu
Scientific paper
10.1103/PhysRevD.78.124003
In this paper, we study the quantum statistical entropy in a 5D Ricci-flat black string solution, which contains a 4D Schwarzschild-de Sitter black hole on the brane, by using the improved thin-layer method with the generalized uncertainty principle. The entropy is the linear sum of the areas of the event horizon and the cosmological horizon without any cut-off and any constraint on the bulk's configuration rather than the usual uncertainty principle. The system's density of state and free energy are convergent in the neighborhood of horizon. The small-mass approximation is determined by the asymptotic behavior of metric function near horizons. Meanwhile, we obtain the minimal length of the position $\Delta x$ which is restrained by the surface gravities and the thickness of layer near horizons.
Gui Yuanxing
Liu Hongya
Liu Molin
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